Online GCD Calculator is useful to find the GCD of 165, 546, 242, 212 quickly. Get the easiest ways to solve the greatest common divisor of 165, 546, 242, 212 i.e 1 in different methods as follows.
Given Input numbers are 165, 546, 242, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (165, 546, 242, 212) = 1.
Given numbers are 165, 546, 242, 212
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 242 are 2 x 11 x 11
Prime factors of 212 are 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 165, 546, 242, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 546) = 30030
GCD(165, 546) = ( 165 x 546 ) / 30030
= 165 / 546
= 165
Step2:
LCM(3, 242) = 726
GCD(3, 242) = ( 3 x 242 ) / 726
= 3 / 242
= 3
Step3:
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
= 1 / 212
= 1
So, Greatest Common Divisor of 165, 546, 242, 212 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 546, 242, 212
The greatest common divisor of numbers 165, 546, 242, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 546, 242, 212 is 1.
1. What is the GCD of 165, 546, 242, 212?
GCD of given numbers 165, 546, 242, 212 is 1
2. How to calculate the greatest common divisor of 165, 546, 242, 212?
We can find the highest common divisor of 165, 546, 242, 212 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 165, 546, 242, 212 i.e 1.
3. How can I use the GCD of 165, 546, 242, 212Calculator?
Out the numbers 165, 546, 242, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.